and many more benefits!

Find us on Facebook

GMAT Club Timer Informer

Hi GMATClubber!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Expressed in minutes, on day one, the distance to P is 120*s (120mins=2 hrs, s=speed)

Then for bus 1 on the second day, distance covered is (120-24)*s =96s

So shouldn't distance to P (120*s) minus 24 miles equal 96s? As in 120s-24=96s, which would calculate to s=1mile/min=60mph

The point is that we cannot say that bus 1 traveled 96 minutes on the second day.

BELOW IS REVISED VERSION OF THIS QUESTION:

A bus leaves city M and travels to city N at a constant speed, at the same time another bus leaves city N and travels to city M at the same constant speed. After driving for 2 hours they meet at point P. The following day the buses do the return trip at the same constant speed. One bus is delayed 24 minutes and the other leaves 36 minutes earlier. If they meet 24 miles from point P, what is the distance between the two cities?

A. 48B. 72C. 96D. 120E. 192

Say the distance between the cities is \(d\) miles.

Since both buses travel at the same constant speed and leave the cities at the same time then they meet at the halfway, so the first meeting point P, is \(\frac{d}{2}\) miles away from M (and N).

Next, since the buses meet in 2 hours then the total time to cover \(d\) miles for each bus is 4 hours.

Now, on the second day one bus traveled alone for 1 hour (36min +24min), hence covered \(0.25d\) miles, and \(0.75d\) miles is left to cover.

The buses meet again at the halfway of \(0.75d\), which is 24 miles from \(\frac{d}{2}\):